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Finding the Fourth Proportional to 9,656.36, 13,320.21 and 5,676.74

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Solution

The fourth proportional to 9,656.36, 13,320.21 and 5,676.74 is: 7,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.36 : 13,320.21 = 5,676.74 : x
  2. Step 2: Convert to fraction form
    9,656.36/13,320.21 = 5,676.74/x
  3. Step 3: Cross multiply
    9,656.36x = 13,320.21 × 5,676.74
  4. Step 4: Simplify right side
    9,656.36x = 75,615,368.92
  5. Step 5: Solve for x
    x = 75,615,368.92/9,656.36
  6. Step 6: Final answer
    x = 7,830.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.